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Simplifying 9 + 10n + -4 = 9n + 29 + -7n Reorder the terms: 9 + -4 + 10n = 9n + 29 + -7n Combine like terms: 9 + -4 = 5 5 + 10n = 9n + 29 + -7n Reorder the terms: 5 + 10n = 29 + 9n + -7n Combine like terms: 9n + -7n = 2n 5 + 10n = 29 + 2n Solving 5 + 10n = 29 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 5 + 10n + -2n = 29 + 2n + -2n Combine like terms: 10n + -2n = 8n 5 + 8n = 29 + 2n + -2n Combine like terms: 2n + -2n = 0 5 + 8n = 29 + 0 5 + 8n = 29 Add '-5' to each side of the equation. 5 + -5 + 8n = 29 + -5 Combine like terms: 5 + -5 = 0 0 + 8n = 29 + -5 8n = 29 + -5 Combine like terms: 29 + -5 = 24 8n = 24 Divide each side by '8'. n = 3 Simplifying n = 3
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